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Historical Seismograms - Evidence from the AD 2000 Izu Islands ...

Historical Seismograms - Evidence from the AD 2000 Izu Islands ...

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262 S. Prachuab.17 MAY 1955EMrliCUALKE WEN9 5" 100" 105" EFigure 6. <strong>Historical</strong> earthquakes of magnitude 2 7.0 during <strong>the</strong> period 1900 to 1983.are <strong>the</strong> most prevalent. It is presumed that <strong>the</strong>re are more earthquakes havingmagnitude 5 4.5, that would be detected only by a larger seismic network.An empirical relationship has been established by Gutenberg and Richter (1954).This relation usually is called <strong>the</strong> magnitude-frequency relation and is expressed aslog N = a - bM, (1)where N is <strong>the</strong> number of earthquakes having magnitude M, and a and b areconstants depending on <strong>the</strong> period of observation and <strong>the</strong> tectonic region.Using <strong>the</strong> equation given by Utsu (1967):whereb = 0.4343/ M - M,, (2)is <strong>the</strong> mean which is c Mi/ c i, and M, is <strong>the</strong> lowest magnitude.

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